;     Date: Fri, 24 Jul 2009 18:48:51 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 25-07-09 (Northeast Bride [No Rating])
;       Id: <1.5.4.16.20090724185048.29efe4c6@pop.mindspring.com>
; ---------
; 
; FOTD -- July 25, 2009 (No Rating)
; 
; Fractal visionaries and enthusiasts:
; 
; Friday turned unexpectedly busy here at Fractal Central, leaving 
; almost no time for a proper fractal, much less a new type of 
; fractal.  What we have is an almost-Julia set with a bridge 
; across its center.  This bridge is a side view of the north 
; branch of the valley leading to the period-4 bud on the north-
; east shore line of the main bay of the Mandelbrot set.
; 
; The wedge-shaped valley has become a stripe with parallel sides 
; because, regardless of where the Z-points are initialized in the 
; Mandelbrot set, they eventually settle into the same orbits.  I 
; have no time for the technical details so just take my word for 
; it.
; 
; The image is a harmless one -- a Julia outline with a blue 
; stripe running diagonally across the center.  The area north and 
; east of the stripe has many spirals, all spiralling clockwise, 
; while the area south and west has only vague hints of spirals, 
; and these are spiralling counter-clockwise.
; 
; Checking the orbits will show that the northeast half of the 
; area inside the Julia outline lies inside the period-4 bud; the 
; southwest half lies on the outside.  Some of the orbits are 
; quite interesting.  I leave it to the individual fractalist to 
; find these orbits.
; 
; I named the image "Northeast Bride".  I had intended to type 
; the word 'bridge' but typed 'bride' instead.  I kind of liked 
; the error, so I decided to let it remain.  As for a rating, 
; forget it.  How many who have remained with the list all these 
; years are really thrilled by seeing such trite images?
; 
; At least the calculation time is reasonable.  Who can complain 
; about a calculation time of under 2-1/2 minutes?  And if there 
; are any who do complain, relief may be found on the FOTD web 
; site at:
; 
;        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
; 
; where the finished image is or soon will be posted.
; 
; Hazy sun but otherwise pleasant weather prevailed here at 
; Fractal Central on Friday.  An afternoon threat of rain proved 
; to be a false alarm.  The fractal cats approved of the dryness 
; and temperature of 82F 28C.
; 
; My day was very busy, even with FL helping.  There is a 50-
; percent chance that the next FOTD will be posted in 24 hours.  
; The other 50 percent is that we decide to take the day off.  
; Until whenever, take care, and something very important is 
; happening unseen just beneath the surface.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Northeast_Bride { ; time=0:02:26.10-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=SliceJulibrot2 passes=t
  center-mag=-0.00921296/0.0053159/1.11/1/-105/0
  params=90/90/92/89/0.241/0.512/0/0 float=y
  maxiter=25000 inside=0 logmap=-3 periodicity=10
  colors=000UV9UVCUWEUWGVWIWWLWWNXXPYXRYXUZXW_XY_X_`\
  VY`UXaSWaRVaPUbOTbMScLRcJQcIPdGOdFNdHMgIJiKHkMFmOD\
  pQBrS9bazbazbazbazbbzbbzbbzbczbczbczbdzbdzbdzbdzbe\
  zbezbezafzafzafzagzagzagzahzahzahzahzaizaizaizajza\
  jzajzakzakzakzakzalzalzalzamzamzamzanzanzanzaozaoz\
  aozaoz`pz`pz`pz`qz`qz`qz`rz`rz`rz`rz`sz`sz`sz`tz`t\
  z`tz`uz`uz`uz`vz`vz`vz`vz`wz`wz`wz`xz`xz`xz`yzayzb\
  yzczzdzzezzfzzgzzhzzizzjzzkzzlzzmzzmzzmzzmzzmzzmzz\
  mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzznzzozzpzzqz\
  zrzzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:SliceJulibrot2   {; draws most slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)+c
  |z|<=9 }

; END PARAMETER FILE=========================================
; 
; 
; 
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